A student plots versus time for an unknown radioactive isotope and obtains a straight…
CHEMISTRY · Multi-part · US High School · Chemistry · Atomic Structure & Nuclear · Atomic Structure & Nuclear
Problem
A student plots lnN versus time t for an unknown radioactive isotope and obtains a straight line whose slope is −0.030day−1.
(1) Identify the physical quantity represented by the magnitude of the slope and explain your reasoning without performing numerical calculations.
(2) Describe, without explicit calculation, how you would use the graph to estimate the time required for the sample to reach one-eighth of its original number of nuclei. In your explanation, connect the graphical method to the concept of half-life.